• Title/Summary/Keyword: Prandtl 수

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Analysis on Turbulent Scalar Field in a Channel with Wall Injection using LES Technique (LES기법을 이용한 벽면 분출이 있는 채널 내부의 난류 유동 및 스칼라장 특성 해석)

  • Na, Yang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.13 no.2
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    • pp.54-63
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    • 2009
  • Large eddy simulation was conducted for flow development in a chamber with wall injection which simulates the cold flow in an idealized hybrid rocket motor. It was found that a peculiar timescale, roughly corresponding to St~0.5, resides in the flowfield resulting from the interaction between the main oxidizer and wall injected flows. However, the fact that this time characteristics is absent in the temperature field in the vicinity of the wall indicates that even a small regression rate renders the passive scalar, such as temperature, dissimilar to the velocity field. This implies that a classical approach, which assumes that constant turbulent Prandtl number, should be replaced by a more sophisticated turbulence models to accurately predict the temperature field in the hybrid motor.

Scaling analysis of Core Flow Pattern in a Low-Aspect Ratio Rectangular Enclosure -( II ) End-Driven flow Regime- (종횡비가 낮은 직각형 밀폐용기 내의 코어흐름 형태에 관한 해석 -( II ) 운동력이 양단에 존재하는 경우-)

  • 이진호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.4
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    • pp.375-384
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    • 1984
  • 본 연구에서는 종횡비가 낮은 직사각형 밀폐용기 내에 Rayleigh수가 충분히 커서 흐름의 운동력이 용기 양단에 존재하는 경우에 PartⅠ에서 개발된 해석적인 모델 을 근거한 scaling analysis를 통해 그 내부 흐름 형태를 정성적으로 예측, 기존의 결 과와 비교, 검토하였다. 해석결과, Prandtl수에 따라 여러가지 내부 흐름 형태가 존 재할 수 있음이 밝혀졌으며 용기 내 뚜렷한 경계층 흐름이 존재하기 위한 필요조건도 아울러 얻어졌다.

Numerical Analysis of Combined Natural and Forced Convection Around Cylinders (II) (실린더로부터 전달되는 혼합대류 열전달의 수치해석 (II))

  • Moon, S.H.;Shih, T.M.;Johnson, A.T.
    • Journal of Biosystems Engineering
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    • v.12 no.4
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    • pp.22-30
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    • 1987
  • 실린더로부터 Prandtl수가 0.7인 주변공기로 전달되는 혼합대류 열전달현상을 Stream-Vorticity 함수로 표시된 재배방정식으로부터 유한차분법으로 분석하였다. Nusselt수와 실린더 주변의 온도분포가 조사된 제1편에 이어 Reynolds수와 Gradhof수가 실린더 주변의 공기속도분포, 경계층 박리지점(Separation point), 실린더 표면에서의 마찰계수 및 실린더 주변에서의 압력분포에 미치는 영향을 분석하였다.

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Mixing Length Model of Combined Flow Bed Friction (합성류 전단력 계산을 위한 혼합거리 모델)

  • 유동훈
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.8-14
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    • 1989
  • A mathematical model for computing the bed friction of combined wave-current flow has been developed based on the Prandtl's mixing length theory. Using various approximate expressions, solutions are obtained explicitly. The computational results are compared and found in reasonable agreements with the data of field measurements.

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Effects of Partially Distributed Loads on Dynamic Response of Plane Parabolic Arch (부분분포하중이 평면 포물선아치의 동적응답에 마치는 영향)

  • Cho, Jin-Goo;Park, Keun-Soo
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.6
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    • pp.21-28
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    • 2004
  • This study aims to investigate the effects of partially distributed loads on the dynamic behaviour of steel parabolic arches by using the elasto-plastic finite element model based on the Von Mises yield criteria and the Prandtl-Reuss How rule. For this purpose, the vertical and the radial load conditions were considered as a distributed loading and the loading range is varied from 40% to 100% of arch span. Normal arch and arch with initial deflection were studied. The initial deflection of arch was assumed by the sinusoidal motile of ${\omega}_i\;=\;{\\omega}_O$ sin ($n{\pi}x/L$). Several numerical examples were tested considering symmetric initial deflection when the maximum initial deflection at the apex is fixed as L/1000. The analysis resluts showed that the maximum deflection at the apex of arch was occurred when 70% of arch span was loaded. The maximum deflection at the quarter point of arch span was occurred when 50% of arch span was loaded. It is known that the optimal rise to span ratio between 0.2 and 0.3 when the vertical or radial distributed load is applied. It is verified that the influence of initial deflection of radial load case is more serious than that of vertical load case.

EFFECTS OF RADIATION AND HEAT GENERATION ON MHD AND PARABOLIC MOTION ON CASSON FLUIDS FLOW THROUGH A ROTATING POROUS MEDIUM IN A VERTICAL PLATE

  • J. PRAKASH;A. SELVARAJ
    • Journal of applied mathematics & informatics
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    • v.42 no.3
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    • pp.607-623
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    • 2024
  • This article studies the effects of heat generation/absorption and thermal radiation on the unsteady magnetohydrodynamic (MHD) Casson fluid flow past a vertical plate through rotating porous medium with constant temperature and mass diffusion. It is assumed that the plate temperature and concentration level are raised uniformly. For finding the exact solution, a set of non-dimensional partial differential equations is solved analytically using the Laplace transform technique. The influence of various non-dimensional parameters on the velocity are discussed, including the effects of the magnetic parameter M, heat generation/absorption Q, thermal radiation parameter R, Prandtl number Pr, Schmidt number Sc, permeability of porous medium parameter, Casson fluid parameter γ, on velocity, temperature, and concentration profiles, which are discussed through several figures. It is found that velocity, temperature, and concentration profiles in the case of heat generation parameter Q, Casson fluid parameter γ, thermal Grashof number Gr, mass Grashof number Gc, Permeability Porous medium parameter K, and time t have retarding effects. It is also seen that the magnetic field M, Thermal Radiation parameter R, Prandtl field Pr, Schmidt number Sc have reverse effects on it.

Effect of Aspect Ratio of Enclosure with Inner Circular Cylinder on Three-Dimensional Natural Convection (원형 실린더가 존재하는 밀폐계의 종횡비 변화가 3차원 자연대류 현상에 미치는 영향)

  • Lee, Jeong Min;Seo, Young Min;Ha, Man Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.11
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    • pp.717-726
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    • 2016
  • This study evaluated the effect of aspect ratio of an enclosure with a heated inner circular cylinder on three-dimensional natural convection. The immersed boundary method was used to model the inner circular cylinder based on the finite volume method. The Rayleigh number was varied between $10^5$ and $10^6$, and the Prandtl number was maintained at 0.7. The aspect ratio of the three-dimensional enclosure was changed in steps of 1 within a range of 1-4 by increasing the width of the enclosure. In this study, the flow and thermal fields in the enclosure reached the steady state, and showed a mirror-symmetric pattern with respect to the center plane (x=0). In addition, the surface-averaged Nusselt number of the inner circular cylinder increased, while the total surface-averaged Nusselt number of the enclosure walls decreased with increase in the aspect ratio of the enclosure.

Effect of Inner Circular Cylinder Size on Three-Dimensional Natural Convection in Cubical Enclosure (내부 원형 실린더의 크기가 정육면체 밀폐계 내부의 3 차원 자연대류 현상에 미치는 영향)

  • Seo, Young Min;Choi, Changyoung;Ha, Man Yeong;Park, Sang Hu
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.12
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    • pp.975-982
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    • 2014
  • This study evaluates the effect of a heated circular cylinder's size on three-dimensional natural convection in a cubical enclosure. The Rayleigh number was varied between $10^3$ and $10^5$, and the Prandtl number was maintained at 0.7. In this study, the radius of the circular cylinder was changed by 0.1 L within a range of 0.1-0.4 L. The thermal and fluid flow characteristics were regarded to be independent of time in the range of the Rayleigh number and cylinder radius considered in this study. The surface-averaged Nusselt numbers of the cylinder and the enclosure were found to increase with the increase in the radius of the cylinder. The effect of the cylinder's size on natural convection in the enclosure was analyzed across the thermal and flow fields, and the distributions of the Nusselt numbers.

Numerical Study on the Performance of a Microchannel Heat Exchanger with a Novel Channel Array (새로운 채널 배열을 통한 마이크로채널 열교환기 성능 향상 수치 연구)

  • Jeon, Seung-Won;Lee, Kyu-Jung;Moon, Dong-Ju
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.11
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    • pp.1119-1126
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    • 2011
  • In conventional microchannel heat exchangers, only one kind of fluid (hot or cold) flows in each plate. The channels contain different kinds of fluid depending on the vertical position, but they have the same kind of fluid at all horizontal positions. Therefore, there is a slower heat transfer rate in the horizontal direction than in the vertical direction. We propose a microchannel heat exchanger in which hot and cold fluid flows alternately in each plate to improve the thermal performance. This novel channel array requires a special design for the inlet and outlet. The proposed channel array has a faster heat transfer rate than a conventional channel array. The thermal performance of the novel channel array increases with increasing Reynolds number and Prandtl number, but it decreases as the ratio of solid to fluid thermal conductivity increases.